Open AccessОптимальное управление внутривенной лазерной абляцией
Author(s) -
А.Е. Ковтанюк,
А.Ю. Чеботарев,
А.А. Астраханцева,
А.А. Сущенко
Publication year - 2020
Publication title -
žurnal tehničeskoj fiziki
Language(s) - English
Resource type - Journals
eISSN - 1726-748X
pISSN - 0044-4642
DOI - 10.21883/os.2020.09.49882.242-20
Subject(s) - boundary value problem , heat transfer , thermal radiation , iterative method , radiation , thermal , mathematics , materials science , mathematical optimization , physics , optics , mechanics , mathematical analysis , thermodynamics
On the base of an initial-boundary value problem for the model of radiation-conductive heat transfer, the thermal processes that occur during endovenous laser ablation are studied. An optimal control problem is posed, which consists in approximating the solution of the initial-boundary value problem to a given temperature profile at a certain point of the model domain. The source powers going on radiation and heating the carbonized tip of the optical fiber are taken as control. An iterative algorithm for solving the problem is proposed and numerically implemented.